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Finding the Fourth Proportional to 175,284, 262,820.76 and 80,395.32

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Solution

The fourth proportional to 175,284, 262,820.76 and 80,395.32 is: 120,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,284 : 262,820.76 = 80,395.32 : x
  2. Step 2: Convert to fraction form
    175,284/262,820.76 = 80,395.32/x
  3. Step 3: Cross multiply
    175,284x = 262,820.76 × 80,395.32
  4. Step 4: Simplify right side
    175,284x = 21,129,559,102.84
  5. Step 5: Solve for x
    x = 21,129,559,102.84/175,284
  6. Step 6: Final answer
    x = 120,544.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.